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Finding the Third Proportional to 297,015 and 487,593

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Solution

The third proportional to 297,015 and 487,593 is: 800,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,015 : 487,593 = 487,593 : x
  2. Step 2: Convert to fraction form
    297,015/487,593 = 487,593/x
  3. Step 3: Cross multiply
    297,015x = 487,593 × 487,593
  4. Step 4: Simplify right side
    297,015x = 237,746,933,649
  5. Step 5: Solve for x
    x = 237,746,933,649/297,015
  6. Step 6: Final answer
    x = 800,454.30

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.